Xiaofen Gao

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20192025

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math.AP2025

Strichartz estimates for Critical magnetic Schrödinger operators on flat Euclidean cones

Xiaofen Gao, Jialu Wang, Chengbin Xu +1

In this paper, we study Schrödinger operator $H_{A}$ perturbed by critical magnetic potentials on the 2D flat cone $Σ= C(\mathbb{S}_ρ^1) = (0, \infty) \times \ma…

math.AP2025

$L^{p}$ -estimates for the wave equation with critical magnetic potential on conical manifolds

Xiaofen Gao, Jialu Wang, Chengbin Xu +1

In this paper, we consider a class of conical singular spaces $Σ = (0, \infty)_{r} \times Y$ equipped with the metric $g = d r^{2} + r^{2} h$ , where the cross section $Y$ is a compact $(n…

Strichartz estimates for Critical magnetic Schrödinger operators on flat Euclidean cones

Lp-estimates for the wave equation with critical magnetic potential on conical manifolds

$L^{p}$ -estimates for the wave equation with critical magnetic potential on conical manifolds